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Simplifying 3n + 13 = 2(1 + 7n) Reorder the terms: 13 + 3n = 2(1 + 7n) 13 + 3n = (1 * 2 + 7n * 2) 13 + 3n = (2 + 14n) Solving 13 + 3n = 2 + 14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14n' to each side of the equation. 13 + 3n + -14n = 2 + 14n + -14n Combine like terms: 3n + -14n = -11n 13 + -11n = 2 + 14n + -14n Combine like terms: 14n + -14n = 0 13 + -11n = 2 + 0 13 + -11n = 2 Add '-13' to each side of the equation. 13 + -13 + -11n = 2 + -13 Combine like terms: 13 + -13 = 0 0 + -11n = 2 + -13 -11n = 2 + -13 Combine like terms: 2 + -13 = -11 -11n = -11 Divide each side by '-11'. n = 1 Simplifying n = 1
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